Math / Discrete

QuestionA stock can go up, go down, or stay unchanged. How many possibilities are there if you own 11 stocks?
There are $\square$ possibilities with 11 stocks.

Studdy Solution

STEP 1

1. Each stock has 3 possible outcomes: go up, go down, or stay unchanged.
2. The outcomes of each stock are independent of the others.

STEP 2

1. Identify the number of possible outcomes for a single stock.
2. Determine the total number of possibilities for 11 stocks.

STEP 3

For a single stock, there are 3 possible outcomes: it can go up, go down, or stay unchanged.

STEP 4

Since the outcomes of the stocks are independent, the total number of possibilities for 11 stocks is calculated by raising the number of outcomes for a single stock to the power of the number of stocks. Therefore, we have:
$3^{11}$

STEP 5

Calculate $3^{11}$ :
$3^{11} = 177147$
There are $\boxed{177147}$ possibilities with 11 stocks.

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QuestionA stock can go up, go down, or stay unchanged. How many possibilities are there if you own 11 stocks?
There are $\square$ possibilities with 11 stocks.

Studdy Solution

STEP 1

1. Each stock has 3 possible outcomes: go up, go down, or stay unchanged.
2. The outcomes of each stock are independent of the others.

STEP 2

1. Identify the number of possible outcomes for a single stock.
2. Determine the total number of possibilities for 11 stocks.

STEP 3

For a single stock, there are 3 possible outcomes: it can go up, go down, or stay unchanged.

STEP 4

Since the outcomes of the stocks are independent, the total number of possibilities for 11 stocks is calculated by raising the number of outcomes for a single stock to the power of the number of stocks. Therefore, we have:
$3^{11}$

STEP 5

Calculate $3^{11}$ :
$3^{11} = 177147$
There are $\boxed{177147}$ possibilities with 11 stocks.

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QuestionA stock can go up, go down, or stay unchanged. How many possibilities are there if you own 11 stocks?There are □\square□ possibilities with 11 stocks.

Studdy Solution

STEP 1

1. Each stock has 3 possible outcomes: go up, go down, or stay unchanged.2. The outcomes of each stock are independent of the others.

STEP 2

1. Identify the number of possible outcomes for a single stock.2. Determine the total number of possibilities for 11 stocks.

STEP 3

For a single stock, there are 3 possible outcomes: it can go up, go down, or stay unchanged.

STEP 4

Since the outcomes of the stocks are independent, the total number of possibilities for 11 stocks is calculated by raising the number of outcomes for a single stock to the power of the number of stocks. Therefore, we have:311 3^{11} 311

STEP 5

Calculate 311 3^{11} 311:311=177147 3^{11} = 177147 311=177147 There are 177147 \boxed{177147} 177147​ possibilities with 11 stocks.

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Studdy solves anything!

Start learning now

Download Studdy AI Tutor now. Learn with ease and get all help you need to be successful at school.

QuestionA stock can go up, go down, or stay unchanged. How many possibilities are there if you own 11 stocks?
There are $\square$ possibilities with 11 stocks.

1. Each stock has 3 possible outcomes: go up, go down, or stay unchanged.
2. The outcomes of each stock are independent of the others.

1. Identify the number of possible outcomes for a single stock.
2. Determine the total number of possibilities for 11 stocks.

Since the outcomes of the stocks are independent, the total number of possibilities for 11 stocks is calculated by raising the number of outcomes for a single stock to the power of the number of stocks. Therefore, we have:
$3^{11}$

Calculate $3^{11}$ :
$3^{11} = 177147$
There are $\boxed{177147}$ possibilities with 11 stocks.